The following table shows, for each even weight between 4 and 58, the Galois orbits of Hecke eigenforms in the space \(M_*({\rm Sp}(4,\mathbb{Z}))\).
The number (#) next to each orbit denotes the number of eigenforms in the orbit.
<ul>
<li>
<span class="emph">Eisen</span> denotes an orbit consisting of Siegel Eisenstein series,
</li>
<li>
<span class="emph">Klingen</span> denotes an orbit consisting of Klingen Eisenstein series,
</li>
<li>
<span class="emph">Maass</span> denotes an orbit consisting of Maass liftings,
</li>
<li>
<span class="emph">Ups</span> denotes an orbit consisting of cusp forms which are neither Eisenstein series nor Maass liftings.
</li>
</ul>
You can click on an orbit to get Fourier coefficient, Hecke eigenvalues,
and other information.

<div class="long1">
  <table class="siegel_dim_table">
    <tr><td>Weight</td><td>Galois orbits</td></tr>
    {% for wt,forms in  info.forms%}
    <tr>
      <td>{{ wt }}</td>
      <td>
        {% for form,dim in forms|sort %}
    {% set orbit = "orbit type to be implemented" %}
    {% if form == "Maass" %}
    {%  set orbit ="Maass" %}
    {%  set orbit_abbrev ="Maass" %}
    {% elif form == "E" %}
    {%  set orbit ="Eisenstein" %}
    {%  set orbit_abbrev ="Eisen" %}
    {% elif form == "Klingen" %}
    {%  set orbit ="Klingen" %}
    {%  set orbit_abbrev ="Klingen" %}
    {% else %}
    {%  set orbit ="Interesting" %}
    {%  set orbit_abbrev =form %}
    {%  endif %}
        <span style="margin-right:20px;"><a href="{{ url_for( 'ModularForm_GSp4_Q_top_level', group='Sp4Z', form = form, weight = wt, page = 'specimen', orbit= orbit ) }}">{{ orbit_abbrev }} ({{ dim }})</a></span>
        {% endfor %}
      </td>
    </tr>
    {% endfor %}
  </table>
</div>
